1. Multiplying & Dividing Integers

2. Hello Sunshines!!! Get Started on Your Walk-ins! Week 4 Thursday
There is a Typo on Number 4! Skip it!
Get out your Notebook For Some Notes today!
No Calculators Today!
Don’t worry… this is the last lesson without one! 

3. WARMUP!!
You’ve got 2.5 minutes! Remember numbers next to parenthesis means to multiply. And fractions are division questions
1. 5(8) 40
2. 6(12) 72 36 9 49 7 3. 4 4. 7
192 16 12
5. 18(7)
126 6.

4. You can think of multiplication as repeated addition – in fact that’s what multiplication is: a shorter way of adding the same number many times. We use this to teach young kids multiplication. For example, if three kids have 2 cookies each that would be or 3∙2
so we know 3 · 2 = = 6
and the same thing works with multiplying a positive times a negative:
3 · (–2) = (–2) + (–2) + (–2) = –6
Another way to think about this is if I owe three people 2 (-2) each, I owe 6 (-6) altogether!

5. A positive number multiplied by an integer can be written as repeated addition.
3(–200) = (–200) + (–200) + (–200) = –600
From what you know about adding and subtracting integers, you can see that a positive integer times a negative integer is negative.

6. Find each product.
Write this example down with me!
–7 · 2
Think: –7 · 2 = 2 · –7,
or 2 groups of –7.
–7 · 2 = (–7) + (–7)
= –14
Try this one on your own!
–8 · 3
–8 · 3 = (–8) + (–8) + (–8)
= –24
Think: –8 · 3 = 3 · –8,
or 3 groups of –8.

7. Find each product.
–3 · 2
–5 · 3

8. Copy this table down!!!

9. MULTIPLYING AND DIVIDING INTEGERS
Write this down too!! 
MULTIPLYING AND DIVIDING INTEGERS
If the signs are:
Your answer will be:
the same
positive
different
negative
SAME SIGNS = POSITIVE
DIFFERENT SIGNS = NEGATIVE

10. Use the rule to find the answer quickly!
Multiply or divide.
–6(4)
Signs are different.
= –24
Answer is negative.
–8(–5)
Signs are the same.
= 40
Answer is positive.

11. Multiply or divide.
–18 2
= –9
–25 –5
= 5

12. Multiply or divide.
5(–2)
= –10
–3(–2)
= 6

13. Multiply or divide.
–24 3
= –8
–12 –2
= 6

14. Copy These Questions Down for your Homework!

15. (-2)4

16. Order of Operations
1. Parentheses
2. Exponents
3. Multiply and divide from left to right.
4. Add and subtract from left to right.
Remember!

17. Simplify.
3(–6 – 12)
Subtract inside the parentheses.
= 3(–18)
= –54
–5(–5 + 2)
= –5(–3)
= 15

18. Simplify.
–2(14 – 5)
= –2(9)
= –18

19. Simplify.
2(1 – 8)
= 2(–7)
= –14
4(–3 – 8)
= 4(–11)
= –44

20. Simplify.
–3(6 – 9)
= –3(–3)
= 9

21. 25 – (-2) ∙ -42

22. 20 – (-3) ∙ -32

23. -2 ∙ 4 – 8

24. 8 + 6 ÷ -2

25. Day Mon Tue Wed Thu Fri Price Change ($) –$1 $3 $2 –$5 $6
Mrs. Johnson kept track of a stock she was considering buying. She recorded the price change each day. What was the average change per day?
Day
Mon
Tue
Wed
Thu
Fri
Price Change ($)
–$1 $3 $2
–$5 $6
(–1) (–5) + 6 = 5 5
= 1
The average change per day was $1.

26. Day Mon Tue Wed Thu Fri Unit Change –8 2 4 –9 6
Mr. Reid kept track of his blood sugar daily. He recorded the change each day. What was the average change per day?
Day
Mon
Tue
Wed
Thu
Fri
Unit Change –8 2 4 –9 6
(–8) (–9) + 6 = –5 –5 5
= –1
The average change per day was –1 unit.

28. Lesson Quiz – Part 1
Find each product or quotient.
1. –8 · 12
2. –3 · 5 · (–2)
3. –75 ÷ 5
4. –110 ÷ (–2)
5. The temperature at Bar Harbor, Maine, was –3° F. It then dropped during the night to be 4 times as cold.
What was the temperature then?
–96 30
–15 55
–12˚F

29. Lesson Quiz: Part 2
6. –8(4)
–32 7.
–12(5)
–10 6
Evaluate the expressions for the given value of the variable.
8. –4t – 9 for t = –6 15
–36 t
for t = 9 –4
10. The temperature in Maine was –2° F. It then dropped during the night to be 10 times as cold.
What was the temperature then?
–20˚F